Gearbox torque calculation - input/output

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Discussion Overview

The discussion revolves around calculating the input torque for a gearbox given its output torque, output speed, and input speed, as well as the configuration of the gears involved. The context includes theoretical and practical aspects of gearbox operation.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant presents the output torque and speeds, asking how to calculate the input torque for a gearbox with a specified gear arrangement.
  • Another participant suggests that since the gearbox is increasing speed, the input torque can be calculated by multiplying the output torque by the gear ratio, implying a reduction in torque due to the speed increase.
  • A third participant clarifies that the context involves a design concept where a power spring drives the input to a pump, indicating a specific application scenario.
  • A later reply encourages double-checking the math and logic, suggesting a cautious approach to the calculations involved.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the calculation method, as the discussion includes differing interpretations of the gearbox operation and its application. Some participants express confidence in the proposed method, while others emphasize the need for careful verification.

Contextual Notes

There are potential limitations regarding the assumptions made about the gearbox operation and the specific definitions of torque and speed in this context. The relationship between output and input torque is contingent on the gear ratio and the nature of the gearbox configuration.

Who May Find This Useful

This discussion may be useful for individuals interested in mechanical engineering, particularly those working with gearboxes, torque calculations, and related applications in design and engineering projects.

karl8695
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Hi all,

Please help me to solve this fairly simple problem (i think):

Gearbox output torque driving the input shaft to pump = 0.12348 Nm
Gearbox output speed - 80 rpm
Gearbox input speed - 4 rpm

Gearbox is compound consisting of x4 gears arranged in two pairs -

Gear A, driver = 100 teeth
Gear B, driven = 20 teeth
Gear C, driver = 80 teeth
Gear D, driven = 20 teeth

Gearbox Ratio = 1:20

How do I calculate the input torque?

Thanks in advance
 
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It seems to me your gearbox is working from low speed to high speed, meaning your gear ratio is speeding up the rotation, which means it is reducing the torque by the same ratio.

take your 'output' torque and multiply this by the ratio to get the input torque.

What's your application? This is opposite of how I use gearboxes.
 
Hi Huntoon,

The question is related to a concept design where a power spring will be driving the input to a pump; think along the lines of the Baylis wind-up radio.

And thanks for your response, i was hoping it was that simple.
 
double check your math and my logic. you get what you pay for, you know what I mean... happy to help though, cheers.
 

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